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Finding the Fourth Proportional to 8,266.26, 12,397.75 and 2,421.30

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Solution

The fourth proportional to 8,266.26, 12,397.75 and 2,421.30 is: 3,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.26 : 12,397.75 = 2,421.30 : x
  2. Step 2: Convert to fraction form
    8,266.26/12,397.75 = 2,421.30/x
  3. Step 3: Cross multiply
    8,266.26x = 12,397.75 × 2,421.30
  4. Step 4: Simplify right side
    8,266.26x = 30,018,672.08
  5. Step 5: Solve for x
    x = 30,018,672.08/8,266.26
  6. Step 6: Final answer
    x = 3,631.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.